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Scorpion4ik [409]
3 years ago
14

The model below represents the equation shown. What is the value of x?

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
4 0

Answer:

Step-by-step explanation:

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Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the
Anna71 [15]

Given:

Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the left to form triangle A’B’C’.

To find:

The coordinates of the vertices of triangle A’B’C’.

Solution:

If triangle ABC reflected across y-axis, then

(x,y)\to (-x,y)

A(-1,4)\to A_1(1,4)

B(-4,1)\to B_1(4,1)

C(-1,1)\to C_1(1,1)

Coordinates of image after reflection across y-axis are A_1(1,4),B_1(4,1),C_1(1,1).

Then triangle translated 4 units to the left to form triangle A’B’C’.

(x,y)\to (x-4,y)

A_1(1,4)\to A'(-3,4)

B_1(4,1)\to B'(0,1)

C_1(1,1)\to C'(-3,1)

Therefore, the vertices of triangle A’B’C’ are A’ (-3, 4), B’ (0, 1), C’ (-3, 1).

Hence, the correct option is B.

6 0
3 years ago
1,030 at 4% compounded semiannually for 2 years
kotegsom [21]

Answer: $1114.91

Step-by-step explanation:

The formula for compound interest is

A= P(1+\frac{r}{n})^{nt}  \\

Where

A = final amount

P = initial principal balance (1030 for this)

r = interest rate (0.04 for this)

n = number of times interest applied per time period (2 for this)

t = number of time periods elapsed (2 for this)

A= 1030(1+\frac{.04}{2})^{(2)(2)}  \\\\A= 1030(1+0.02)^{4} \\A=1030(1.02)^4\\A=1114.905125

This rounds up to $1114.91

6 0
2 years ago
Bijou has $72 in her savings account and plans to save $x each month for 8 months. The expression $8x+$72 represents the total a
AfilCa [17]

Answer:

 The total money in account after 8 months is $72 + $8 x

Step-by-step explanation:

Given as :

Total money available in saving account = $72

The money saves each month in account = $x

So, The money saves in account after 8 months = $x × 8 = $8 x

Let The total money in account after 8 months = $A

Or, A = money available in saving account +  money saves in account after 8 months

i.e A = $72 + $8 x

So, The total money in account after 8 months = A =$72 + $8 x

Hence,  The total money in account after 8 months is $72 + $8 x  Answer

4 0
3 years ago
Convert the following equation into slope intercept form. 3x + 21y = 21 Stars
RideAnS [48]

Answer:

y = -(1/7)x + 1

Step-by-step explanation:

3x + 21y = 21 \\ 21y = 21 - 3x \\ y =  \frac{21 - 3x}{21}  \\ y = 1 -  \frac{1}{7} x \\ y =  -  \frac{1}{7} x + 1

6 0
2 years ago
HIGHER ORDER THINKING A cell phone plan is shown on the right. The rates, which include an unlimited data plan, are the same eac
Leto [7]

Answer: (a). M=7x180+39+700. (B) $731

Step-by-step explanation:

8 0
3 years ago
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